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221101032020 = 2251117433136531
BaseRepresentation
bin1100110111101010100…
…1100000001001010100
3210010200220121011201212
43031322221200021110
512110303331011040
6245323350240552
721655042522541
oct3157251401124
9703626534655
10221101032020
118584a84a940
1236a26356158
1317b07b4943b
14a9b66d3bc8
155b40bcbd65
hex337aa60254

221101032020 has 96 divisors (see below), whose sum is σ = 537560343936. Its totient is φ = 75495628800.

The previous prime is 221101032011. The next prime is 221101032023. The reversal of 221101032020 is 20230101122.

It is a happy number.

221101032020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221101031986 and 221101032004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221101032023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1551155 + ... + 1687685.

It is an arithmetic number, because the mean of its divisors is an integer number (5599586916).

Almost surely, 2221101032020 is an apocalyptic number.

221101032020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221101032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268780171968).

221101032020 is an abundant number, since it is smaller than the sum of its proper divisors (316459311916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221101032020 is a wasteful number, since it uses less digits than its factorization.

221101032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137001 (or 136999 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 221101032020 its reverse (20230101122), we get a palindrome (241331133142).

The spelling of 221101032020 in words is "two hundred twenty-one billion, one hundred one million, thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 433 748 866 935 1732 1870 2165 3740 4330 4763 7361 8660 9526 14722 19052 23815 29444 36805 47630 73610 80971 95260 136531 147220 161942 273062 323884 404855 546124 682655 809710 1365310 1501841 1619420 2321027 2730620 3003682 4642054 6007364 7509205 9284108 11605135 15018410 23210270 25531297 30036820 46420540 51062594 59117923 102125188 118235846 127656485 236471692 255312970 295589615 510625940 591179230 650297153 1005004691 1182358460 1300594306 2010009382 2601188612 3251485765 4020018764 5025023455 6502971530 10050046910 11055051601 13005943060 20100093820 22110103202 44220206404 55275258005 110550516010 221101032020